16 citations · 75 across the 25 of their papers we have counts for
34 papers
The Geometric P=W conjecture and Thurston's compactification
Ashwin Ayilliath-Kutteri, Mohammad Farajzadeh-Tehrani, Charles Frohman
In this paper, we use new results together with established facts about Thurston's compactification of Teichmüller space to address the geometric P=W conjecture for $\mathrm{SL}(2,…
The Kauffman Bracket Skein Module at an irreducible representation
Mohammad Farajzadeh-Tehrani, Charles Frohman, Joanna Kania-Bartoszynska
In this paper, we study the Kauffman bracket skein module of closed oriented three-manifolds at a non-multiple-of-four roots of unity. Our main result establishes that the localiza…
Sliced skein algebras and geometric Kauffman bracket
Charles Frohman, Joanna Kania-Bartoszynska, Thang Lê
The sliced skein algebra of a closed surface of genus with punctures, , is the quotient of the Kauffman bracket skein algebra $\mathcal{S}_ξ(\mathfrak…
On compactifications of the SL(2,C) character varieties of punctured surfaces
Mohammad Farajzadeh-Tehrani, Charles Frohman
This paper addresses some conjectures and questions regarding the absolute and relative compactifications of the $\SL(2,\C)$-character variety of an -punctured Riemann surface w…
Skein Algebras of Three-Manifolds at 4th Roots of Unity
Charles Frohman, Joanna Kania-Bartoszynska, Thang Le
This paper introduces an algebra structure on the part of the skein module of an arbitrary -manifold spanned by links that represent in when the va…
A Projective Representation of the Modular Group
Nadav Kohen, Charles Frohman
Quantum Teichmuller theory assigns invariants to three-manifolds via projective representations of mapping class groups derived from the representation of a noncommutative torus. H…